5 problems

Let $\mathcal{S}$ be the class of normalized univalent functions, let $\overline{\mathbf{S}}$ be the indicated closed Schwarzian space, let $S_f$ be the Schwarzian derivative of…

Let $M_\alpha$ denote the class of $\alpha$-convex functions, let $n=1/\alpha$ with $n\in\mathbb{N}$ and $n\geq 2$, and let the Schwarzian norm be…

Let $\mathcal{U}_R$ be the indicated class of univalent rational functions, let $\mathbb{T}$ be the unit circle, and let $S_R$ denote the Schwarzian derivative of $R$. Critical-poi…

Let $B_b(\tau)$ be the universal integral means spectrum for bounded univalent functions, let $S_f$ denote the Schwarzian derivative of an extremal function $f$, and let…

Let $t_1,t_2$ satisfy … For a real parameter $\lambda$, let $f$ be the solution of … normalized by $J_f(0)=(0,1,0)$, and call $f$ a gear mapping when its image is a gear-shaped dom…